Question

check your understanding
select all expressions whose sum is a positive value.
-58 + (-58)
-125 + 126
98 + (-56)
-231 + 49
156 + (-156)
-78 + (-22)

Explanation:

Step1: Calculate \(-58 + (-58)\)

When adding two negative numbers, we add their absolute values and keep the negative sign. So, \(\vert -58\vert + \vert -58\vert = 58 + 58 = 116\), and the result is \(-116\) (negative).

Step2: Calculate \(-125 + 126\)

Subtract the smaller absolute value from the larger one. \(\vert 126\vert - \vert -125\vert = 126 - 125 = 1\), and since \(126\) has the larger absolute value and is positive, the result is \(1\) (positive).

Step3: Calculate \(98 + (-56)\)

Subtract the absolute value of the negative number from the positive number. \(98 - 56 = 42\) (positive).

Step4: Calculate \(-231 + 49\)

Subtract the smaller absolute value from the larger one. \(\vert -231\vert - \vert 49\vert = 231 - 49 = 182\), and since \(-231\) has the larger absolute value and is negative, the result is \(-182\) (negative).

Step5: Calculate \(156 + (-156)\)

A number and its opposite add up to zero. So, \(156 + (-156) = 0\) (not positive).

Step6: Calculate \(-78 + (-22)\)

Adding two negative numbers: \(\vert -78\vert + \vert -22\vert = 78 + 22 = 100\), result is \(-100\) (negative).

Answer:

• \(-125 + 126\)
• \(98 + (-56)\)